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Finding the Third Proportional to 18,549 and 37,968.75

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Solution

The third proportional to 18,549 and 37,968.75 is: 77,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 37,968.75 = 37,968.75 : x
  2. Step 2: Convert to fraction form
    18,549/37,968.75 = 37,968.75/x
  3. Step 3: Cross multiply
    18,549x = 37,968.75 × 37,968.75
  4. Step 4: Simplify right side
    18,549x = 1,441,625,976.56
  5. Step 5: Solve for x
    x = 1,441,625,976.56/18,549
  6. Step 6: Final answer
    x = 77,719.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.